The speed of light in vacuum is defined to be c = 299,792,458 m/s = The permeability constant of vacuum is defined to be V HOEO HO = 4x X 10" N. · s²/c². Use these definitions to calculate the value of €0, the permittivity of free space, to at least eight significant figures. (Enter your answer in c²/(N · m²).)

Q: )y = AB(A +B) (2) y A+ AB+ B (3)y (A+ B)(C +B

A:

Q: Prove that the total gravitational potential energy can be written as W = .5 ∫d3xρ(x)Φ(x). ρ(x) and…

A: To derive the expression for the total gravitational potential energy, we start with the definition…

Q: Find the mass of the block 0 <x< 4,0 < y< 8,0 < z< 1, whose density 8, is given by 8 = 2 – z for 0)…

A: The density is given by: ρ=2-z The mass of the block is calculated as:…

Q: which one of the following matrix is not part of the Lorentz group? Select one: O a. O b. 0 с. O d.…

A: It is as follows:For matrix A to be a part of the Lorentz group, its determinant should be equal to…

Q: If A = 2i − j − k, B = 2i − 3j + k, C = j + k, find (A · B)C, A(B · C), (A × B) · C,A · (B × C), (A…

A: (A•B)C = (2i − j − k • 2i − 3j + k)( j + k) (A•B)C = (4 + 3 - 1)( j + k) (A•B)C = 6( j + k)

Q: F = = dt d mu dt √1-u²/c² m / T = ²^U2² / 0² {² - a + = m u(u. a) (c²-u²) du dt √1-u²/c² }. qed + u…

A: Here differentiation of product and chain formula of differentiation is used.

Q: Find the general solution to the differential equation y" = 2– sin 2r.

A: y'''=2-sin2x

Q: Figure 10: River B VB VR A boat crosses a river of width 23.4 meters. The boat was traveling with a…

A: W= 23.4m Vb - Vr= 5.2 m/s  Vr = 3.5 m/s  Angle is 56.5°  Vb = Vr+5.2 = 3.5+5.2 = 8.7 m/s

Q: what would the derivation be for  y= Voy(delta t) - .5g(delta t)2

A: here the case is given for an object in free fall motion along the Y axis. Velocity is defined as…

Q: sin dz. (b) sin° z dz. (z - T/6) Given C is the circle |z| = 1. Find the value of (a) z- 7/6

A:

Q: mı – m2 2m2 (9.21) vij |Vli + |V2i mị + m2 mị + m2 2m1 m2 (9.22) V2f |Vli + mị + m2 mị + m2

A:

Q: The component form of vector is 7 = (4, 3). v Find 47. 40 =

A: A vector can be represented by its component form. The vector has two components in a…

Q: Problem 23: An airline passenger drops a coin while the plane is moving horizontally at 252.5 m/s.…

A:

Q: Suppose that you have two vectors (1,0,0, 1) (2,0,0, 2) at What is a"b,?

A: Given that aμ=(1,0,0,1) and bμ=(2,0,0,2) we have to find the value of aμbμ

Q: Evaluate x ds, where C is a. the straight line segment x = t, y = 7. from (0,0) to (16,4) b. the…

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Q: Mass of the bob: m = 0.460045 kg %3D Centripetal acceleration of Radius of the Time for 25 Period of…

A: The time period is defined as the time taken for 1 complete periodic motion or revolution. If there…

Q: Prove the following equation P,y(x,t)= py(x,t) with p=2 (2x-1) Knowing that y (x,t)=3e"

A: Here Px^=-i h2π∇→ . This is the momentum operator the wavefunction will be ψ(x,t)=3 e2πih2x-twhen…

Q: R(N)=f(N)g(N) where f(N) = 7.2N and g(N) = (1 - 7.9/N. If R(N) = H means that R'(N) = 0 and H =…

A: R(N)=f(N)g(N)  where f(N) = 7.2N g(N) = (1 - 7.9/N. If R(N) = H means that R'(N) = 0 and H = 10.5N,…

Q: In certain physical models, the nonhomogeneous term, or forcing term, g(t) in the equation ay" + by'…

A:

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.